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Riemann Problem for a \(2 \times 2\) Hyperbolic System with Linear Damping

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In this paper, we study the Riemann problem for a \(2 \times 2\) nonstrictly hyperbolic system with linear damping. We introduce the special time-dependent viscosity to obtain approximate solutions. Therefore, we solve the Riemann problem (1.1)–(1.2) by limiting viscosity approach.

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Acknowledgement

The author wishes to thank Professor Kayyunnapara Thomas Joseph who kindly send me the paper [13]. The author also wishes to thank the anonymous reviewers whose insightful suggestions helped improve this work.

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  1. Escuela de Matemáticas y Estadística, Universidad Pedagógica y Tecnológica de Colombia, Edificio de Bienestar, M101, Avenida Central del Norte 39-115, Tunja, Boyacá, Colombia

    Richard De la cruz

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Correspondence to Richard De la cruz.

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De la cruz, R. Riemann Problem for a \(2 \times 2\) Hyperbolic System with Linear Damping. Acta Appl Math 170, 631–647 (2020). https://doi.org/10.1007/s10440-020-00350-w

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